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Finding the Third Proportional to 83,237.50 and 183,442

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Solution

The third proportional to 83,237.50 and 183,442 is: 404,276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.50 : 183,442 = 183,442 : x
  2. Step 2: Convert to fraction form
    83,237.50/183,442 = 183,442/x
  3. Step 3: Cross multiply
    83,237.50x = 183,442 × 183,442
  4. Step 4: Simplify right side
    83,237.50x = 33,650,967,364
  5. Step 5: Solve for x
    x = 33,650,967,364/83,237.50
  6. Step 6: Final answer
    x = 404,276.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.